288880 has 40 divisors (see below), whose sum is σ = 705312. Its totient is φ = 109824.

The previous prime is 288877. The next prime is 288907. The reversal of 288880 is 88882.

288880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1762 + ... + 1918.

2²⁸⁸⁸⁸⁰ is an apocalyptic number.

288880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352656).

288880 is an abundant number, since it is smaller than the sum of its proper divisors (416432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

288880 is a wasteful number, since it uses less digits than its factorization.

288880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 34.

The square root of 288880 is about 537.4755808407. The cubic root of 288880 is about 66.1057380679.

The spelling of 288880 in words is "two hundred eighty-eight thousand, eight hundred eighty".